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前置編碼多重輸入輸出區塊傳輸系統

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(1)國 立 交 通 大 學 電 機 與 控 制 工 程 學 系 碩 士 論 文. 前置編碼多重輸入輸出區塊傳輸系統 Precoded MIMO Block Transmission System. 研 究 生:王 彥 棋 指 導 教 授:林 源 倍 教授. 中華民國九十三年六月.

(2) 前置編碼多重輸入輸出區塊傳輸系統 Precoded MIMO Block Transmission System. 研 究 生: 王 彥 棋 指導教授: 林 源 倍 教授. Student: Yen-Chi Wang Advisor: Yuan-Pei Lin. 國 立 交 通 大 學 電 機 與 控 制 工 程 學 系 碩 士 論 文 A Thesis Submitted to Department of Electrical and Control Engineering College of Electrical Engineering and Information Science National Chiao Tung University In partial Fulfillment of the Requirements For the Degree of Master In Electrical and Control Engineering June 2004 Hsinchu, Taiwan, Republic of China. 中華民國九十三年六月.

(3) 前置編碼多重輸入輸出區塊傳輸系統. 學生: 王彥棋. 指導教授: 林源倍 教授. 國立交通大學電機與控制工程學系 ( 研究所 ) 碩士班. 摘. 要. 在這篇論文裡,我們提出前置編碼多重輸入輸出區塊傳輸(PMBT)系統。假 設有 M 個傳送端天線和 M 個接收端天線的情況下,將 M 個調變訊號經由一 個 M×M 傳輸矩置作為前置編碼並且經由 M 個傳送天線傳送出去。我們將使 用零強制、最小均方誤差接收器和最佳位元分配的 PMBT 系統來做誤差率的 分析並且和廣義的最大傳輸率(GMRT)系統的效率做比較。在使用零強制和 最小均方誤差接收器的案例中,GMRT 和 PMBT 系統之間的關係是依據通道矩 陣的特徵值而有所不同。對於使用最佳位元分配的案例中,PMBT 系統總是 比 GMRT 系統有較好的效率。 ..

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(34) 誌. 謝. 這篇論文的完成,首先我要感謝我的指導老師 林源倍 教授,謝謝她在兩年 之內的教導,在這兩年的學習中不僅學習到通訊與訊號處理方面的知識,且學習 到研究時所須嚴謹的精神與態度。 同時我也要感謝口試委員,林清安 教授與鄭木火 教授,對於我的論文指導 與建議,使這篇論文的內容更加完整。 當然我也要感謝陪著我一起學習的伙伴立人、昶誠、重慶、孟良、禮涵、建 樟、沛如和裕彬,與你們相處使我的學習更增添色彩。 最後要感謝雙親、姐姐與女友 渟慧,有了他們的陪伴與鼓勵,使我的學習 更無後顧之憂,最後要感謝我大學同學 全章,有你在新竹的陪伴真的非常愉快。 還有 世昌、志宏、孝勇、揚欣、士偉、學德以及認識我的同學及朋友們,讓我 回到台北能有愉快的週末假期,使我的學習上更有衝勁,總之,謝謝大家。.

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(228) Cumulative Distribution Function 1. cdf. 0.8 0.6 0.4 0.2 0 −10. −8. −6. −4. −2. 0. 2. 4. 6. 8. 10. Z3 1. cdf. 0.8 0.6 0.4 0.2 0 −5. 0. 5. 10. 15. 20. 25. Z4. *#  < 1" 73  *  !  8 9 . .  

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(233)  /

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(235) .    < E 2 "     9 2   9      " .   

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(237) 

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(239) . 7 #   < *  %  9 2   B   "   ! 0  4( 

(240)   2    B  # "  !   4. ++      # # "   4 0 *  %  9 2 2  0  2  B      2    B  # "  !   4 +      #    0  2 E   # "      +M7,  B # "  ! ++.  +      #   0  2  M7 #       3 " ! =      *9       3#  !  3  #  !  9    # :6#        "   M7  "  #   4     4 ! M7 #   3 +  ,     4 !  #           *  3 "  9    4 !  #               4 !       %. .

(241)  ) *

(242)   +

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(244)   6=          !          9 2   !#    Æ         4 %   "3  0       !  5 2 # !   !#  Æ   "3  3       "    7:    ! +;9D,       + 9,9 + 9,9 +9,9 + 9 ,9 + 9 ,9 +9 , ' :      ' 3         The comparision of MRT performance curves. 0. 10. MRT MRT MRT MRT MRT MRT. −1. Bit error Rate (BER). 10. Tx−2,Rx−1 Tx−2,Rx−2 Tx−3,Rx−1 Tx−3,Rx−2 Tx−4,Rx−1 Tx−4,Rx−2. D1. −2. 10. D2 −3. 10. D3. −4. 10. 0. 5. Es/No(dB). 10. 15. *# <     !   !  "   2#  :  ! #       "#   !  ;8 9 ;8 9  ;8.

(245) . .  !  "      *#   2    # .  2   "#   !  ;8 9 ;8 9  ;8 2         2 "   3 3 "       "   3    #    

(246)           "   3        "    6   .  +  4 " 4 " 4 , 0 *#  9   !  "  !  :     !  ! 6   "  +  . . 8 ,  #"  1 #  "    # .  8  2     #   8 9   3 "  6 :    

(247)  !   . .. The comparision of MRT performance curves. −1. 10. Bit error Rate (BER). MRT Tx−2,Rx−2 MRT Tx−4,Rx−1. −2. 10. −3. 10. −4. 10. 0. 2. 4. 6 8 Es/No(dB). 10. 12. *#  <     !   !  "  !    "    2 :     "    3 .

(248) 0 !  

(249)  0    9 2  "   #  (  4 

(250)  # ! %  2 #     -       3 D     (   6      2 ## "   !   #"  > !#   0    9 2 " #  3   6=          !          9 2   !#    Æ         4 %   "3  0       !  5 2 # !   !#  Æ   "3  3       "    7:    ! +;9D,       + 9,9 + 9,9 +9,9 + 9 ,9 + 9 ,9 +9 , ' :      ' 3       6   *#       2     "     #  9  2   2 :       ! 2 ## "   "    ! 6       *#    !      " 9     !  3 #         2 #  3    !   *#   2      "    9     !  2 #  3   The comparision of MRT and GMRT performance curves. 0. 10. MRT Tx−2,Rx−1 MRT Tx−3,Rx−1 MRT Tx−4,Rx−1 GMRT Tx−2,Rx−1 GMRT Tx−3,Rx−1 GMRT Tx−4,Rx−1. −1. Bit Error Rate ( BER ). 10. −2. 10. −3. 10. −4. 10. 0. 2. 4. 6. 8 Es/No(dB). 10. 12. 14. 16. *#  <     !   %  !  "   2#  :  !    "#   !  ;8 9 ;8 9  ;8. .

(251) The comparision of MRT and GMRT performance curves. −1. 10. Bit error Rate (BER). MRT Tx−2,Rx−2 MRT Tx−4,Rx−1 GMRT Tx−2,Rx−2 GMRT Tx−4,Rx−1. −2. 10. −3. 10. −4. 10. 0. 2. 4. 6 Es/No(dB). 8. 10. 12. *# <     !   %  !  "  !    "    2 :     "    3 . −1. The comparision of MRT and GMRT performance curves. 10. Bit Error Rate ( BER ). GMRT Tx−2,Rx−2 GMRT Tx−3,Rx−2 GMRT Tx−4,Rx−2 MRT Tx−2,Rx−2 MRT Tx−3,Rx−2 MRT Tx−4,Rx−2 −2. 10. −3. 10. −4. 10. 0. 2. 4. 6 Es/No(dB). 8. 10. *# <     !   %  !  "  !  :     " . .

(252) 0   

(253)  0     9 2 (  .  !  !     2 )*  .   "    "   3    !  !   #"  #      E 2         2 %         6=       !      0 3 5     E    6=    !  % 0. *#  6 *# 9 2  !    !   #   0  *#  6 *# 9 ' 1          !#    Æ         4 %   "3 2   '9 "  The comparision of GMRT and PMBT performance curves M=2. 0. 10. GMRT PMBT−VH−ZF PMBT−Optimum Bit Allocation PMBT−VHW−ZF PMBT−VHW−MMSE. −1. Bit Error Rate (BER). 10. −2. 10. −3. 10. −4. 10. 0. 5. 10 Es/No (dB). 15. 20. *# < .  !      % !  8 9  < 6=9 %< 6=9  8 &  8 '  0  *# 9  # " !   4   8 &  8 ' . 2 "    & ' K# + ,9       5 2 % " 3  .  !    65  6 6)* !   

(254)   %   65  6 6 . "    #   !  

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(261)     # !. $.

(262) %   65  6 6.    /+7 ,9 2   "     N 8 /+7 , 0   9 2    " !   9   9   " 9 .  / +7 , +7 ,9  '/+7 ,.

(263)     # !.  65  6)*   65  6 6)*     + ,9 2   ".     8 +7 ,    8  / +7 ,   8 '/+7 , *   # 6 " !   49 2   ' 8 9 ' 8 9  ' 8 '   !    2  3    " 3    !   % The comparision of GMRT and PMBT performance curves M=3. 0. 10. GMRT PMBT−VH−ZF PMBT−Optimum Bit Allocation PMBT−VHW−ZF PMBT−VHW−MMSE. −1. Bit Error Rate (BER). 10. −2. 10. −3. 10. −4. 10. 0. 2. 4. 6. 8 10 Es/No (dB). 12. 14. 16. 18. *# /< .  !      % !  8 9  < 6=9 %< 6=9  8 $  8    8 '  0  *# &9  # " !   4   8    8    8. '$  2 #  '  + G  ,.

(264) ' *  + ,9 2 5 2 . 65  6 6)*. " 3    !   % !   

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(266)     # !  65  6)*   65  6 6)*    + ,9 2   "     8 & +7 ,    8 '/ +7 ,   8  +7 , *   # " !   49 2   ' 8 9 ' 8 9  ' 8   2 5 2    2  3    " 3    !  . /.

(267) The comparision of GMRT and PMBT performance curves M=3. 0. 10. GMRT PMBT−VH−ZF PMBT−Optimum Bit Allocation PMBT−VHW−ZF PMBT−VHW−MMSE. −1. Bit Error Rate (BER). 10. −2. 10. −3. 10. −4. 10. 0. 5. 10. 15. Es/No (dB). *# &< .  !      % !  8 9  < 6=9 %< 6=9  8    8    8 '$. % 0  *# '9  # " !   4   8 &  8.   8 '  8 ''  #  /   +  G   G   ,   & ' * . + ,9 2 5 2 % " 3    !    65  6 6)* !   

(268)     # ! %   65  6 6.     +7 ,9 2   "     N 8   +7 , 0   9 2    " !   9   9   " 9  $+7 , /+7 ,9    +7 ,

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(270) '. *  + ,9. 2 5 2  65  6 6)* " 3    !   % !   

(271)  . %   65  6 6. "    #   0   9. &.

(272) The comparision of GMRT and PMBT performance curves M=4. 0. 10. GMRT PMBT−VH−ZF PMBT−Optimum Bit Allocation PMBT−VHW−ZF PMBT−VHW−MMSE. −1. Bit Error Rate (BER). 10. −2. 10. −3. 10. −4. 10. 0. 5. 10 Es/No (dB). 15. 20. *# '< .  !      % !  89  < 6=9 %< 6=9  8 &  8   8 '  8 ''  2    " !    9   9   " 9   /+7 , $+7 ,9 .   +7 ,

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(274)  *    ! .   " 9 %   3        !   

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(276)  *    ! .   " 9 %   3        !  # 

(277)     2  3    " 3    !   %. '.

(278) The comparision of GMRT and PMBT performance curves M=4. 0. 10. GMRT H PMBT−V −ZF PMBT−Optimum Bit Allocation PMBT−VHW−ZF PMBT−VHW−MMSE. −1. Bit Error Rate (BER). 10. −2. 10. −3. 10. −4. 10. 0. 5. 10 Es/No (dB). 15. 20. *# < .  !      % !  89  < 6=9 %< 6=9  8    8    8    8 '. The comparision of GMRT and PMBT performance curves M=2. 0. 10. GMRT PMBT−VH−ZF PMBT−Optimum Bit Allocation PMBT−VHW−ZF PMBT−VHW−MMSE. −1. Bit Error Rate (BER). 10. −2. 10. −3. 10. −4. 10. 0. 2. 4. 6. 8 10 Es/No (dB). 12. 14. 16. *#  < .  !      % !  8 9  < 6=9 %< 6=9 ' 1    . .

(279) The comparision of GMRT and PMBT performance curves M=3. 0. 10. GMRT PMBT−VH−ZF PMBT−Optimum Bit Allocation PMBT−VHW−ZF H PMBT−V W−MMSE. −1. Bit Error Rate (BER). 10. −2. 10. −3. 10. −4. 10. 0. 5. 10 15 Es/No (dB). 20. *#  < .  !      % !  8 9  < 6=9 %< 6=9 ' 1    . The comparision of GMRT and PMBT performance curves M=4. 0. 10. GMRT PMBT−VH−ZF PMBT−Optimum Bit Allocation PMBT−VHW−ZF PMBT−VHW−MMSE. −1. Bit Error Rate (BER). 10. −2. 10. −3. 10. −4. 10. 0. 5. 10. 15 Es/No (dB). 20. 25. *# < .  !      % !  89  < 6=9 %< 6=9 ' 1    . .

(280)  , 

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